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Composition operators on Orlicz-Sobolev spaces

The kernel of composition operator $C_T$ on Orlicz-Sobolev space is obtained. Using the kernel, a necessary and a sufficient condition for injectivity of composition operator $C_T$ has been established. Composition operators on Orlicz-Sobolev space with finite ascent as well as infinite ascent have been characterized.

preprint2016arXivOpen access
Ratan Kumar GiriDebajyoti Choudhuri
math.APmath.FA
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Ratan Kumar GiriDebajyoti Choudhuri

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